Finding the Third Proportional to 300,378 and 419,948

Step by Step Solution

1. Step 1: Write the proportion equation
   300,378 : 419,948 = 419,948 : x
2. Step 2: Convert to fraction form
   300,378/419,948 = 419,948/x
3. Step 3: Cross multiply
   300,378x = 419,948 × 419,948
4. Step 4: Simplify right side
   300,378x = 176,356,322,704
5. Step 5: Solve for x
   x = 176,356,322,704/300,378
6. Step 6: Final answer
   x = 587,114.64